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Finding the Fourth Proportional to 10,259.51, 15,402.02 and 7,159.23

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Solution

The fourth proportional to 10,259.51, 15,402.02 and 7,159.23 is: 10,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.51 : 15,402.02 = 7,159.23 : x
  2. Step 2: Convert to fraction form
    10,259.51/15,402.02 = 7,159.23/x
  3. Step 3: Cross multiply
    10,259.51x = 15,402.02 × 7,159.23
  4. Step 4: Simplify right side
    10,259.51x = 110,266,567.85
  5. Step 5: Solve for x
    x = 110,266,567.85/10,259.51
  6. Step 6: Final answer
    x = 10,747.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.